Information on Result #704391
Linear OA(385, 728, F3, 21) (dual of [728, 643, 22]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(385, 493, F3, 2, 21) (dual of [(493, 2), 901, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(385, 493, F3, 3, 21) (dual of [(493, 3), 1394, 22]-NRT-code) | [i] | ||
3 | Linear OOA(385, 493, F3, 4, 21) (dual of [(493, 4), 1887, 22]-NRT-code) | [i] | ||
4 | Linear OOA(385, 493, F3, 5, 21) (dual of [(493, 5), 2380, 22]-NRT-code) | [i] | ||
5 | Digital (64, 85, 493)-net over F3 | [i] | ||
6 | Linear OA(385, 740, F3, 21) (dual of [740, 655, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
7 | Linear OA(393, 743, F3, 23) (dual of [743, 650, 24]-code) | [i] | ✔ |